The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample ofsixsyringes taken from the batch. Suppose the batch contains5%defectivesyringes.

(a)Make a histogram showing the probabilities ofr= 0, 1, 2, 3, ...,5and6defective syringes in a random sample ofsixsyringes.(Select the correct graph.)

(b)Find(in terms of the number of syringes). (Enter a number. Enter your answer to two decimal places.)

=syringes

What is the expected number of defective syringes the inspector will find? (Enter a number. Enter your answer to two decimal places.)

syringes

(c)What is the probability that the batch will be accepted? (Enter a number. Round your answer to three decimal places.)

(d)Find(in terms of the number of syringes). (Enter a number. Round your answer to three decimal places.)

=syringes